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Rain is falling vertically and a man is ...

Rain is falling vertically and a man is moving with velocity `6 m s^-1`. Find the angle at which the man should hold his umbrella to avoid getting wet.

A

`theta = tan^-1 ((2)/(5))`

B

`theta = tan^-1 ((4)/(5))`

C

`theta = tan^-1 ((3)/(5))`

D

`theta = sin^-1 ((2)/(5))`

Text Solution

Verified by Experts

The correct Answer is:
C
`vec v_("rain") = - 10 hat j rArr vec v_(man) = 6 hat j`
`vec v_("rain w.r.t. to man") = 10 hat j - 6 hat i`
`tan theta = (6)/(10) rArr theta = tan^-1 ((3)/(5))`
where `theta` is the angle with vertical.
, .
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